Results 161 to 169 of about 32,582 (169)

Generalized Fourier-Feynman transforms and a first variation on function space

Integral Transforms and Special Functions, 2003
In this paper we use a generalized Brownian motion process to define a generalized Feynman integral and a generalized Fourier-Feynman transform. We establish a translation theorem and use it to express the generalized Feynman integral of the first variation of a functional F in terms of the generalized Feynman integral of F multiplied by a linear ...
Seung Jun Chang, David Skoug
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Analytic Fourier–Feynman transforms associated with bounded linear operators on abstract Wiener spaces

Journal of Mathematical Analysis and Applications, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Evaluation formulas for Fourier-Feynman transform over paths in abstract Wiener space

Journal of Interdisciplinary Mathematics, 2002
Abstract In this paper, we define an Lp analytic Fourier-Feynman transform of functionals on C0(B), the space of abstract Wiener space valued continuous functions on [0,T]. We establish existence theorems and inverse transform theorems of this transform for functionals on C0(B) in certain classes and which correspond to the class and of functionals on ...
Kun Soo Chang, Dong Hyun Cho, Teuk Seob Song, II Yoo   +3 more
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A new aspect of the analytic Fourier-Feynman transform and its applications

Integral Transforms and Special Functions, 2014
In this paper we define a modified analytic function space Fourier-Feynman transform to explain some physical phenomenon. We then establish various relationships involving the modified analytic function space Fourier-Feynman transform with related topics.
Seung Jun Chang, Hyun Soo Chung
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Relationships between the ∗w-product and the L1 analytic Fourier–Feynman transforms

Integral Transforms and Special Functions, 2017
ABSTRACTIn this paper, we introduce the concept of the ∗w-product which is a very useful tool to obtain the L1 analytic Fourier–Feynman transform. We then use this concept to obtain various integration formulas involving the ∗w-product, the convolution product and the first variation.
Seung Jun Chang, Hyun Soo Chung, Il Yong Lee   +2 more
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Fourier–Feynman transforms and Wiener integrals over paths in abstract Wiener spaces

Integral Transforms and Special Functions, 2005
We establish some relationships between L p -analytic Fourier–Feynman transforms and Wiener integrals over paths on C 0(B), the space of abstract Wiener space valued continuous functions on [0, T], for certain cylinder-type functions of the form where f ∈ L p (R mn ), 1 ≤ p ≤ 2 and 0 = s 0 ≤ s 1 ≤ ··· ≤ s n  = T is a partition of [0, T].
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FOURIER-FEYNMAN TRANSFORMS ON WIENER SPACES

Stochastic Analysis and Mathematical Physics, 2004
I. YOO, K.S. CHANG, D.H. CHO, B.S. KIM, T.S. SONG   +4 more
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CHANGE OF SCALE FORMULAS FOR WIENER INTEGRALS AND FOURIER-FEYNMAN TRANSFORMS

More Progresses in Analysis, 2009
IL YOO, TEUK SEOB SONG, BYOUNG SOO KIM, KUN SOO CHANG   +3 more
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Fourier–Feynman transforms of cylinder functionals combining Gaussian paths on Wiener space

Integral Transforms and Special Functions
Yong Hoon Lee, Jae Gil Choi
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